Spectral Theory And Nonlinear Analysis With Applications to Spatial Ecology

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  • Format: Hardcover
  • Copyright: 2005-09-29
  • Publisher: World Scientific Pub Co Inc
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What is included with this book?


This volume details some of the latest advances in spectral theory and nonlinear analysis through various cutting-edge theories on algebraic multiplicities, global bifurcation theory, non-linear Schrodinger equations, non-linear boundary value problems, large solutions, metasolutions, dynamical systems, and applications to spatial ecology. The main scope of the book is bringing together a series of topics that have evolved separately during the last decades around the common denominator of spectral theory and nonlinear analysis - from the most abstract developments up to the most concrete applications to population dynamics and socio-biology - in an effort to fill the existing gaps between these fields.

Table of Contents

Prefacep. v
Poster of the Seminarp. vii
On the Positive Solutions of the Logistic Weighted Elliptic BVP with Sublinear Mixed Boundary Conditionsp. 1
Logarithmic Interpolation Spacesp. 17
Remarks on Large Solutionsp. 31
Well Posedness and Asymptotic Behaviour of a Closed Loop Thermosyphonp. 59
Uniqueness of Large Solutions for a Class of Radially Symmetric Elliptic Equationsp. 75
Cooperation and Competition, Strategic Alliances, and the Cambrian Explosionp. 111
Local Smith Form and Equivalence for One-parameter Families of Fredholm Operators of Index Zerop. 127
Multilump Solutions of the Non-linear Schrodinger Equation - A Scaling Approachp. 163
Some Elliptic Problems with Nonlinear Boundary Conditionsp. 175
Dynamical Systems Method (DSM) and Nonlinear Problemsp. 201
Some Recent Results on Periodic, Jumping Nonlinearity Problemsp. 229
Some Remarks about the Cubic Schrodinger Equation on the Linep. 247
Some Remarks on the Invariance of Level Sets in Dynamical Systemsp. 257
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